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328346865 = 34571110529
BaseRepresentation
bin10011100100100…
…010110011110001
3211212211202020000
4103210202303301
51133024044430
652325340213
711064621330
oct2344426361
9755752200
10328346865
11159385950
1291b67669
13530444b2
1431871d17
151dc5ce60
hex13922cf1

328346865 has 80 divisors (see below), whose sum is σ = 733898880. Its totient is φ = 136442880.

The previous prime is 328346861. The next prime is 328346867. The reversal of 328346865 is 568643823.

It is a happy number.

It is not a de Polignac number, because 328346865 - 22 = 328346861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 328346865.

It is not an unprimeable number, because it can be changed into a prime (328346861) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25921 + ... + 36449.

It is an arithmetic number, because the mean of its divisors is an integer number (9173736).

Almost surely, 2328346865 is an apocalyptic number.

328346865 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328346865 is an abundant number, since it is smaller than the sum of its proper divisors (405552015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328346865 is a wasteful number, since it uses less digits than its factorization.

328346865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10555 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 328346865 is about 18120.3439536892. The cubic root of 328346865 is about 689.8864652516.

The spelling of 328346865 in words is "three hundred twenty-eight million, three hundred forty-six thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 10529 31185 31587 52645 73703 94761 115819 157935 221109 284283 347457 368515 473805 579095 663327 810733 852849 1042371 1105545 1421415 1737285 1989981 2432199 3127113 3316635 4053665 4264245 5211855 5969943 7296597 9381339 9949905 12160995 15635565 21889791 29849715 36482985 46906695 65669373 109448955 328346865